| 一类具有Dirichlet边界条件的反应扩散方程的爆破解 |
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| 引用本文： | 胡红娟,杜健,李慧珍. 一类具有Dirichlet边界条件的反应扩散方程的爆破解[J]. 数学的实践与认识, 2021, 0(4): 222-229 |
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| 作者姓名： | 胡红娟 杜健 李慧珍 |
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| 作者单位： | 陆军装甲兵学院基础部 |
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| 基金项目： | 学院自主创新项目基金(2019CJ111)。 |
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| 摘 要： | 针对一类具有Dirichlet边界条件的非线性反应扩散方程的爆破问题,通过构造恰当的辅助函数和利用一阶微分不等式技术,给出了解在有限时刻爆破的一个充分条件,并在一定条件下得到了爆破时刻的上界和下界.
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| 关 键 词： | 反应扩散方程 爆破解 上界 下界 |
Blow-up Solutions for A Class of Reaction-diffusion Equations with Dirichlet Boundary Conditions |
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| HU Hong-juan,DU Jian,LI Hui-zhen. Blow-up Solutions for A Class of Reaction-diffusion Equations with Dirichlet Boundary Conditions[J]. Mathematics in Practice and Theory, 2021, 0(4): 222-229 |
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| Authors: | HU Hong-juan DU Jian LI Hui-zhen |
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| Affiliation: | (Basic Department,Army Armoured Academy,Beijing 100072,China) |
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| Abstract: | In this paper we investigate the blow-up solutions for a class of nonlinear reactiondiffusion equation with Dirichlet boundary conditions.By constructing auxiliary functions and using the first-order differential inequality technique,we give the sufficient conditions for the existence of the blow-up.In addition,the lower and upper bounds for the blow-up time when blow-up occurs are also obtained. |
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| Keywords: | reaction-diffusion equcations blow-up solution blow-up lower bound |
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